A338597 Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 7 one-ohm resistors, but not from any network with fewer than 7 one-ohm resistors. Numerators are in A338580.

7, 11, 14, 13, 15, 18, 17, 13, 16, 19, 20, 17, 14, 19, 21, 18, 17, 19, 16, 24, 19, 21, 21, 19, 24, 16, 19, 17, 18, 21, 19, 14, 17, 20, 19, 16, 13, 17, 18, 15, 19, 13, 14, 19, 11, 17, 19, 20, 8, 9, 21, 12, 13, 14, 15, 16, 19

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Example

The list of the 114 = A338197(7) resistance values, sorted by increasing size of R = A338580(n)/a(n) = A338607(n)/A338600(7), is the union of [1/7, 2/11, 3/14, ..., 14/15, 15/16, 18/19] and of the corresponding reciprocal resistances > 1 ohm [19/18, 16/15, 15/14, ..., 14/3, 11/2, 7].

Crossrefs

Cf. A338197, A338580, A338600, A338607.

Cf. A338595, A338596, A338598, A338599, A338590 (similar for n = 5..10).

Sequence in context: A062607 A018768 A045970 * A356455 A004235 A004236

Adjacent sequences: A338594 A338595 A338596 * A338598 A338599 A338600

Keyword

nonn,frac,fini,full

Author

Hugo Pfoertner, Nov 05 2020

Status

approved